Geometry

Sphere Calculator

Compute volume and surface area of a sphere. Free online Sphere Calculator for geometry — instant, accurate results, mobile-friendly, no signup needed.

Volume = 4/3·π·r³; surface area = 4πr².
Volume
523.5988
Surface area
314.1593

Derivation

  1. ├── 01Givenr = 5
  2. ├── 02FormulaVolume = 4/3·π·r³ · Surface = 4π·r²
  3. ├── 035³ = 125.0000
  4. ├── 04Volume(4/3) × π × 125.0000 = 523.5988
  5. ├── 055² = 25.0000
  6. └── 06Surface4 × π × 25.0000 = 314.1593
Did you know?

Archimedes was reportedly so proud of proving that a sphere has 2⁄3 the volume of its enclosing cylinder that he asked for the diagram carved on his tombstone.

§01What is

Understanding the Sphere Calculator

The Sphere Calculator helps you compute compute volume and surface area of a sphere.. It runs entirely in your browser with no sign-up required.

Geometry is what turns raw measurements into useful answers about space — how much paint, how big a yard, how much material a project will need. Every craftsperson, architect, and DIYer reaches for these formulas regularly. The Sphere Calculator sits in that toolkit — it compute volume and surface area of a sphere. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

§02FAQ

Frequently asked questions

Yes. The calculator implements the standard formula as documented and returns exact floating-point results. No approximations are used unless noted in the formula.
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